about boxplot

June 15, 2012

(This article was first published on One Tip Per Day, and kindly contributed to R-bloggers)

From Wiki:

“… the bottom and top of the box are always the 25th and 75th percentile (the lower and upper quartiles, respectively), and the band near the middle of the box is always the 50th percentile (the median). But the ends of the whiskers can represent several possible alternative values…”

In R’s default boxplot{graphics} code,

upper whisker = min(max(x), Q_3 + 1.5 * IQR)
lower whisker = max(min(x), Q_1 – 1.5 * IQR)

where IQR = Q_3 – Q_1, the box length.
So the upper whisker is located at the *smaller* of the maximum x value and Q_3 + 1.5 IQR,
whereas the lower whisker is located at the *larger* of the smallest x value and Q_1 – 1.5 IQR.

Here is a full discussion about the whisker of boxplot in default R code:

To leave a comment for the author, please follow the link and comment on their blog: One Tip Per Day.

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